Outline of trigonometry

is U+2220|228x228px • Geometry – mathematics concerned with questions of shape, size, the relative position of figures, and the properties of space. Geometry is used extensively in trigonometry. • Angle – the angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. • Ratio – a ratio indicates how many times one number contains another == Content of trigonometry ==

• Trigonometry • Trigonometric functions • Trigonometric identities • Euler's formula == Scholars ==

• Archimedes • Aristarchus • Aryabhata • Bhaskara I • Claudius Ptolemy • Euclid • Hipparchus • Madhava of Sangamagrama • Ptolemy • Pythagoras • Regiomontanus == History ==

• Aristarchus's inequality • Bhaskara I's sine approximation formula • Greek astronomy • Indian astronomy • Jyā, koti-jyā and utkrama-jyā • Madhava's sine table • Ptolemy's table of chords • Rule of marteloio • Āryabhaṭa's sine table == Fields ==

Uses of trigonometry • Acoustics • Architecture • Astronomy • Biology • Cartography • Chemistry • Civil engineering • Computer graphics • Cryptography • Crystallography • Economics • Electrical engineering • Electronics • Game development • Geodesy • Mechanical engineering • Medical imaging • Meteorology • Music theory • Number theory • Oceanography • Optics • Pharmacy • Phonetics • Physical science • Probability theory • Seismology • Statistics • Surveying Physics • Abbe sine condition • Greninger chart • Phasor • Snell's law Astronomy • Equant • Parallax • Dialing scales Chemistry • Greninger chart Geography, geodesy, and land surveying • Hansen's problem • Snellius–Pothenot problem • Great-circle distance – how to find that distance if one knows the latitude and longitude. • Resection (orientation) • Vincenty's formulae • Geographic distance • Triangulation in three dimensions Navigation • Haversine formula • Rule of marteloio Engineering • Belt problem • Phase response • Phasor • Rake (angle) Analog devices • Dialing scales • Gunter's quadrant • Gunter's scale • Protractor • Scale of chords == Calculus ==

• Inverse trigonometric functions • List of integrals of trigonometric functions • List of integrals of inverse trigonometric functions • Regiomontanus' angle maximization problem • Tangent half-angle substitution • Trigonometric integral • Trigonometric substitution • Applications • Fourier transform • Wave equation == Other areas of mathematics ==

• For examples of trigonometric functions as generating functions in combinatorics, see Alternating permutation. • Dirichlet kernel • Euler's formula • Exact trigonometric values • Exponential sum • Trigonometric integral • Trigonometric polynomial • Trigonometric series == Geometric foundations ==

• Altern base • Angle • Plane angle • Solid angle • Spherical angle • Right angle • Angle excess • Angular distance • Angular unit • Degree (angle) • Gon (angle) (aka Grad, Gradian) • Radian • Turn (angle) • Brocard points • Chord (geometry) • Circle (also see List of circle topics) • Unit circle • Hypotenuse • Opposites post • pi| (pi) • Ptolemy's theorem • Pythagorean theorem • Regiomontanus' angle maximization problem • Thales' theorem • Trigonometric function • Trigonometry of a tetrahedron • Triangle (also see List of triangle topics) == Trigonometric functions ==

• Sine, Cosine, Tangent (trigonometric function), Cotangent, Secant (trigonometric function), Cosecant – see Trigonometric function • atan2 • cis—see Euler's formula • Cofunction • Exsecant • Gudermannian function • Inverse trigonometric functions • Jyā, koti-jyā and utkrama-jyā • Versine == Trigonometric identities ==

Trigonometric identity (list) • De Moivre's formula • Euler's formula • Hermite's cotangent identity • Lagrange's trigonometric identities • Morrie's law • Proofs of trigonometric identities • Pythagorean trigonometric identity • Tangent half-angle formula == Solution of triangles ==

Solution of triangles • Law of sines • Law of cosines • Law of tangents • Law of cotangents • Mollweide's formula == More advanced trigonometric concepts and methods ==

• Chebyshev polynomials • Conway triangle notation • Exact trigonometric constants • Generalized trigonometry • Gudermannian function • Lissajous curve • Polar sine • Rational trigonometry • Spread polynomials == Numerical mathematics ==

• Abbe error • Hypot • Prosthaphaeresis • Trigonometric interpolation • Kunstweg, an algorithm for computing sines, introduced in the late 1500s Trigonometric tables Trigonometric tables • Generating trigonometric tables • Āryabhaṭa's sine table • Bhaskara I's sine approximation formula • Madhava's sine table • Ptolemy's table of chords, written in the second century A.D. • Rule of marteloio • Canon Sinuum, listing sines at increments of two arcseconds, published in the late 1500s Spherical trigonometry Spherical trigonometry • Half-side formula • Haversine formula == Mnemonics ==

mnemonics in trigonometry • All Students Take Calculus == Lists ==

• List of integrals of trigonometric functions • List of integrals of inverse trigonometric functions • List of trigonometric identities • Table of mathematical symbols ==See also==